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Journal Article

Coarse graining the phase space of N qubits

MPS-Authors
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Sanchez-Soto,  Luis L.
Guests, Max Planck Institute for the Science of Light, Max Planck Society;
Univ Complutense, Fac Fis, Dept Opt, Complutense University of Madrid;

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Leuchs,  Gerd
Leuchs Division, Max Planck Institute for the Science of Light, Max Planck Society;

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Grassl,  Markus
Quantumness, Tomography, Entanglement, and Codes, Leuchs Division, Max Planck Institute for the Science of Light, Max Planck Society;

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Citation

Di Matteo, O., Sanchez-Soto, L. L., Leuchs, G., & Grassl, M. (2017). Coarse graining the phase space of N qubits. PHYSICAL REVIEW A, 95(2): 022340. doi:10.1103/PhysRevA.95.022340.


Abstract
We develop a systematic coarse-graining procedure for systems of N qubits. We exploit the underlying geometrical structures of the associated discrete phase space to produce a coarse-grained version with reduced effective size. Our coarse-grained spaces inherit key properties of the original ones. In particular, our procedure naturally yields a subset of the original measurement operators, which can be used to construct a coarse discrete Wigner function. These operators also constitute a systematic choice of incomplete measurements for the tomographer wishing to probe an intractably large system.